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Finding the Fourth Proportional to 420,294.76, 580,041.12 and 239,063.38

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Solution

The fourth proportional to 420,294.76, 580,041.12 and 239,063.38 is: 329,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294.76 : 580,041.12 = 239,063.38 : x
  2. Step 2: Convert to fraction form
    420,294.76/580,041.12 = 239,063.38/x
  3. Step 3: Cross multiply
    420,294.76x = 580,041.12 × 239,063.38
  4. Step 4: Simplify right side
    420,294.76x = 138,666,590,686.19
  5. Step 5: Solve for x
    x = 138,666,590,686.19/420,294.76
  6. Step 6: Final answer
    x = 329,927.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.